It is estimated that each guest at a party will eat 2/9
2 answers:
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There is a little-known theorem to solve this problem.
The theorem says that
In a triangle, the angle bisector cuts the opposite side into two segments in the ratio of the respective sides lengths.
See the attached triangles for cases 1 and 2. Let x be the length of the third side.
Case 1:
Segment 5cm is adjacent to the 7.6cm side, then
x/7.6=3/5 => x=7.6*3/5=4.56 cm
Case 2:
Segment 3cm is adjacent to the 7.6 cm side, then
x/7.6=5/3 => x=7.6*5/3=12.67 cm
The theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.
The theorem says that
In a triangle, the angle bisector cuts the opposite side into two segments in the ratio of the respective sides lengths.
See the attached triangles for cases 1 and 2. Let x be the length of the third side.
Case 1:
Segment 5cm is adjacent to the 7.6cm side, then
x/7.6=3/5 => x=7.6*3/5=4.56 cm
Case 2:
Segment 3cm is adjacent to the 7.6 cm side, then
x/7.6=5/3 => x=7.6*5/3=12.67 cm
The theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.
Answer:
a
mean variance
b
The binomial random variable x fall into this interval ranges from
- 5 to 5
c
Step-by-step explanation:
From the question we are told that
The sample size is
The percentage that look for gas stations and food outlets that are close to or visible from the highway is
Generally the mean is mathematically represented as
=>
=>
The variance is mathematically represented as
=>
=>
The standard deviation is mathematically evaluated as
The interval is evaluated as
=>
=>
=>
The binomial random variable x fall into this interval ranges from
- 5 to 5
Generally
From the z-table
And
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